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2.1 Measuring Lengths
Customary Units Copy this in your spiral notebook Inch – length of a small paper clip Foot – distance from elbow to knuckle (12 inches) Yard – width of a door (3 feet)
Metric Units Copy this in your spiral notebook Millimeter –width of a ship won (gold ship wons or penny) Centimeter – width of your little finger Meter height of a chair
Activity – Do This Measure how long your book is in paperclips. 				height   width Math Text Book
A paper clip is about 1 inch long.  About how long is your textbook.
Activity – Do This Using your finger tips, estimate the width of your book.
EXAMPLE 1 Using Customary Units of Length
EXAMPLE 1 Using Customary Units of Length Find the length of the caterpillar to the nearest inch
EXAMPLE 1 EXAMPLE 1 Using Customary Units of Length Using Customary Units of Length Find the length of the caterpillar to the nearest inch
EXAMPLE 1 Using Customary Units of Length Find the length of the caterpillar to the nearest inch ANSWER
EXAMPLE 1 Using Customary Units of Length Find the length of the caterpillar to the nearest inch ANSWER  The caterpillar is about 2 inches long.
EXAMPLE 2 Using Metric Units of Length
EXAMPLE 2 Using Metric Units of Length Find the length of the seashell to the nearest millimeter.
EXAMPLE 2 Using Metric Units of Length Find the length of the seashell to the nearest millimeter.
EXAMPLE 2 Using Metric Units of Length Find the length of the seashell to the nearest millimeter. ANSWER
EXAMPLE 2 Using Metric Units of Length Find the length of the seashell to the nearest millimeter. ANSWER  The seashell is about 45millimeters long.
EXAMPLE 3 Choosing Appropriate Tools
EXAMPLE 3 Choosing Appropriate Tools Choose an appropriate measuring tool for the length. Explain your reasoning.
EXAMPLE 3 Choosing Appropriate Tools Choose an appropriate measuring tool for the length. Explain your reasoning. a. width of a calculator
EXAMPLE 3 Choosing Appropriate Tools Choose an appropriate measuring tool for the length. Explain your reasoning. a. width of a calculator b. length of a bus
EXAMPLE 3 Choosing Appropriate Tools Choose an appropriate measuring tool for the length. Explain your reasoning. a. width of a calculator b. length of a bus SOLUTION
EXAMPLE 3 Choosing Appropriate Tools Choose an appropriate measuring tool for the length. Explain your reasoning. a. width of a calculator b. length of a bus SOLUTION      The width of a calculator is less than one foot and less than 30 centimeters.So, you should use a foot ruler or a centimeter ruler to measure the length. a.
EXAMPLE 3 Choosing Appropriate Tools Choose an appropriate measuring tool for the length. Explain your reasoning. a. width of a calculator b. length of a bus SOLUTION      The width of a calculator is less than one foot and less than 30 centimeters.So, you should use a foot ruler or a centimeter ruler to measure the length. a. The length of a bus is greater than one yard and    greater than one meter.So, you should use a tape measure to measure the length. b.
EXAMPLE 4 Choosing Appropriate Units
EXAMPLE 4 Choosing Appropriate Units Choose an appropriate customary unit and metric unit for the length. Explain your reasoning.
EXAMPLE 4 Choosing Appropriate Units Choose an appropriate customary unit and metric unit for the length. Explain your reasoning. distance from Boston to Chicago
EXAMPLE 4 Choosing Appropriate Units Choose an appropriate customary unit and metric unit for the length. Explain your reasoning. distance from Boston to Chicago height of a full grown tree
EXAMPLE 4 Choosing Appropriate Units SOLUTION      The distance from Boston to Chicago is much greater than one yard and much greater than one meter. So, use miles or kilometers. a.
The height of a tree is much greater than either one inch or one centimeter. The height is also much less than either one mile or one kilometer. So, use feet, yards, or meters. b. EXAMPLE 4 Choosing Appropriate Units SOLUTION      The distance from Boston to Chicago is much greater than one yard and much greater than one meter. So, use miles or kilometers. a.
EXAMPLE 5 Estimating Length Using Benchmarks
EXAMPLE 5 Estimating Length Using Benchmarks Estimate the height, in meters, of the door below. Measure to check.
EXAMPLE 5 Estimating Length Using Benchmarks Estimate the height, in meters, of the door below. Measure to check. STEP 1 To estimate, imagine how high the door is in “chairs.”
EXAMPLE 5 Estimating Length Using Benchmarks Estimate the height, in meters, of the door below. Measure to check. STEP 1 To estimate, imagine how high the door is in “chairs.” STEP 2 To check your estimate, measure the door  with a meterstick.
EXAMPLE 5 Estimating Length Using Benchmarks Estimate the height, in meters, of the door below. Measure to check. STEP 1 To estimate, imagine how high the door is in “chairs.” STEP 2 To check your estimate, measure the door  with a meterstick. ANSWER
EXAMPLE 5 Estimating Length Using Benchmarks Estimate the height, in meters, of the door below. Measure to check. STEP 1 To estimate, imagine how high the door is in “chairs.” STEP 2 To check your estimate, measure the door  with a meterstick. ANSWER  The door is about 2 “chairs” high, which is about 2 meters. The height of the door is just over 2 meters.

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2.1 6th

  • 2. Customary Units Copy this in your spiral notebook Inch – length of a small paper clip Foot – distance from elbow to knuckle (12 inches) Yard – width of a door (3 feet)
  • 3. Metric Units Copy this in your spiral notebook Millimeter –width of a ship won (gold ship wons or penny) Centimeter – width of your little finger Meter height of a chair
  • 4. Activity – Do This Measure how long your book is in paperclips. height  width Math Text Book
  • 5. A paper clip is about 1 inch long. About how long is your textbook.
  • 6. Activity – Do This Using your finger tips, estimate the width of your book.
  • 7. EXAMPLE 1 Using Customary Units of Length
  • 8. EXAMPLE 1 Using Customary Units of Length Find the length of the caterpillar to the nearest inch
  • 9. EXAMPLE 1 EXAMPLE 1 Using Customary Units of Length Using Customary Units of Length Find the length of the caterpillar to the nearest inch
  • 10. EXAMPLE 1 Using Customary Units of Length Find the length of the caterpillar to the nearest inch ANSWER
  • 11. EXAMPLE 1 Using Customary Units of Length Find the length of the caterpillar to the nearest inch ANSWER The caterpillar is about 2 inches long.
  • 12. EXAMPLE 2 Using Metric Units of Length
  • 13. EXAMPLE 2 Using Metric Units of Length Find the length of the seashell to the nearest millimeter.
  • 14. EXAMPLE 2 Using Metric Units of Length Find the length of the seashell to the nearest millimeter.
  • 15. EXAMPLE 2 Using Metric Units of Length Find the length of the seashell to the nearest millimeter. ANSWER
  • 16. EXAMPLE 2 Using Metric Units of Length Find the length of the seashell to the nearest millimeter. ANSWER The seashell is about 45millimeters long.
  • 17. EXAMPLE 3 Choosing Appropriate Tools
  • 18. EXAMPLE 3 Choosing Appropriate Tools Choose an appropriate measuring tool for the length. Explain your reasoning.
  • 19. EXAMPLE 3 Choosing Appropriate Tools Choose an appropriate measuring tool for the length. Explain your reasoning. a. width of a calculator
  • 20. EXAMPLE 3 Choosing Appropriate Tools Choose an appropriate measuring tool for the length. Explain your reasoning. a. width of a calculator b. length of a bus
  • 21. EXAMPLE 3 Choosing Appropriate Tools Choose an appropriate measuring tool for the length. Explain your reasoning. a. width of a calculator b. length of a bus SOLUTION
  • 22. EXAMPLE 3 Choosing Appropriate Tools Choose an appropriate measuring tool for the length. Explain your reasoning. a. width of a calculator b. length of a bus SOLUTION The width of a calculator is less than one foot and less than 30 centimeters.So, you should use a foot ruler or a centimeter ruler to measure the length. a.
  • 23. EXAMPLE 3 Choosing Appropriate Tools Choose an appropriate measuring tool for the length. Explain your reasoning. a. width of a calculator b. length of a bus SOLUTION The width of a calculator is less than one foot and less than 30 centimeters.So, you should use a foot ruler or a centimeter ruler to measure the length. a. The length of a bus is greater than one yard and greater than one meter.So, you should use a tape measure to measure the length. b.
  • 24. EXAMPLE 4 Choosing Appropriate Units
  • 25. EXAMPLE 4 Choosing Appropriate Units Choose an appropriate customary unit and metric unit for the length. Explain your reasoning.
  • 26. EXAMPLE 4 Choosing Appropriate Units Choose an appropriate customary unit and metric unit for the length. Explain your reasoning. distance from Boston to Chicago
  • 27. EXAMPLE 4 Choosing Appropriate Units Choose an appropriate customary unit and metric unit for the length. Explain your reasoning. distance from Boston to Chicago height of a full grown tree
  • 28. EXAMPLE 4 Choosing Appropriate Units SOLUTION The distance from Boston to Chicago is much greater than one yard and much greater than one meter. So, use miles or kilometers. a.
  • 29. The height of a tree is much greater than either one inch or one centimeter. The height is also much less than either one mile or one kilometer. So, use feet, yards, or meters. b. EXAMPLE 4 Choosing Appropriate Units SOLUTION The distance from Boston to Chicago is much greater than one yard and much greater than one meter. So, use miles or kilometers. a.
  • 30. EXAMPLE 5 Estimating Length Using Benchmarks
  • 31. EXAMPLE 5 Estimating Length Using Benchmarks Estimate the height, in meters, of the door below. Measure to check.
  • 32. EXAMPLE 5 Estimating Length Using Benchmarks Estimate the height, in meters, of the door below. Measure to check. STEP 1 To estimate, imagine how high the door is in “chairs.”
  • 33. EXAMPLE 5 Estimating Length Using Benchmarks Estimate the height, in meters, of the door below. Measure to check. STEP 1 To estimate, imagine how high the door is in “chairs.” STEP 2 To check your estimate, measure the door with a meterstick.
  • 34. EXAMPLE 5 Estimating Length Using Benchmarks Estimate the height, in meters, of the door below. Measure to check. STEP 1 To estimate, imagine how high the door is in “chairs.” STEP 2 To check your estimate, measure the door with a meterstick. ANSWER
  • 35. EXAMPLE 5 Estimating Length Using Benchmarks Estimate the height, in meters, of the door below. Measure to check. STEP 1 To estimate, imagine how high the door is in “chairs.” STEP 2 To check your estimate, measure the door with a meterstick. ANSWER The door is about 2 “chairs” high, which is about 2 meters. The height of the door is just over 2 meters.